#### 500

- Metrodorus assembles the
*Greek Anthology* consisting of 46 mathematical problems.

#### 510

#### 530

#### 532

#### 534

- Chinese mathematics is introduced into Japan.

#### 575

- Varahamihira produces
*Pancasiddhantika* (*The Five Astronomical Canons*). He makes important contributions to trigonometry.

#### 594

- Decimal notation is used for numbers in India. This is the system on which our current notation is based. (See this History Topic.)

#### 628

- Brahmagupta writes
*Brahmasphutasiddanta* (*The Opening of the Universe*), a work on astronomy; on mathematics. He uses zero and negative numbers, gives methods to solve quadratic equations, sum series, and compute square roots.

#### 644

#### 700

- Mathematicians in the Mayan civilization introduce a symbol for zero into their number system. (See this History Topic.)

#### 775

- Alcuin of York writes elementary texts on arithmetic, geometry and astronomy.

#### 810

- House of Wisdom set up in Baghdad. There Greek and Indian mathematical and astronomy works are translated into Arabic.
- Al-Khwarizmi writes important works on arithmetic, algebra, geography, and astronomy. In particular
*Hisab al-jabr w'al-muqabala* (*Calculation by Completion and Balancing*), gives us the word "algebra", from "al-jabr". From al-Khwarizmi's name, as a consequence of his arithmetic book, comes the word "algorithm".

#### 850

- Thabit ibn Qurra makes important mathematical discoveries such as the extension of the concept of number to (positive) real numbers, integral calculus, theorems in spherical trigonometry, analytic geometry, and non-euclidean geometry.
- Thabit ibn Qurra writes
*Book on the determination of amicable numbers* which contains general methods to construct amicable numbers. He knows the pair of amicable numbers 17296, 18416.
- Mahavira writes
*Ganita Sara Samgraha*. It consists of nine chapters and includes all mathematical knowledge of mid-ninth century India.